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Finding the Fourth Proportional to 471,271.80, 650,362.86 and 256,420.92

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Solution

The fourth proportional to 471,271.80, 650,362.86 and 256,420.92 is: 353,865.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,271.80 : 650,362.86 = 256,420.92 : x
  2. Step 2: Convert to fraction form
    471,271.80/650,362.86 = 256,420.92/x
  3. Step 3: Cross multiply
    471,271.80x = 650,362.86 × 256,420.92
  4. Step 4: Simplify right side
    471,271.80x = 166,766,642,895.03
  5. Step 5: Solve for x
    x = 166,766,642,895.03/471,271.80
  6. Step 6: Final answer
    x = 353,865.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.